Atkin-Lehner |
2- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
63580o |
Isogeny class |
Conductor |
63580 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
8170565175494480 = 24 · 5 · 114 · 178 |
Discriminant |
Eigenvalues |
2- -2 5- -2 11- 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-127545,-17027120] |
[a1,a2,a3,a4,a6] |
j |
594160697344/21156245 |
j-invariant |
L |
1.5190922431537 |
L(r)(E,1)/r! |
Ω |
0.25318204081638 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3740a1 |
Quadratic twists by: 17 |